Best Known (45−38, 45, s)-Nets in Base 25
(45−38, 45, 66)-Net over F25 — Constructive and digital
Digital (7, 45, 66)-net over F25, using
- t-expansion [i] based on digital (4, 45, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
(45−38, 45, 666)-Net in Base 25 — Upper bound on s
There is no (7, 45, 667)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 826 344734 671062 253677 323791 220265 334459 077924 288182 121970 070425 > 2545 [i]